JEE Exam  >  JEE Questions  >   When liquid medicine of density p is to be p... Start Learning for Free
When liquid medicine of density p is to be put in the eye it is done with the help of a dropper. As the bulb on the top of the dropper is pressed, a drop forms at the opening of the dropper. We wish to estimate the size of the drop. We first assume that the drop formed at the opening is spherical because that requires a minimum increase in its surface energy. To determine the size, we calculate the net vertical force due to the surface tension T when the radius of the drop is R. When this force becomes smaller than the weight of the drop, the drop gets detached from the dropper.
If the radius of the opening of the dropper is r, the vertical force due to the surface tension on the drop of radius R (assuming r < />
  • a)
    2πrT
  • b)
    2πRT
  • c)
    2πr2T/R
  • d)
    2πr2T/r
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
When liquid medicine of density p is to be put in the eye it is done ...
The vertical force due to the surface tension on the drop is,
Free Test
Community Answer
When liquid medicine of density p is to be put in the eye it is done ...
Understanding the Problem:
In this problem, we are given that liquid medicine of density p is being put in the eye using a dropper. When the bulb on the top of the dropper is pressed, a drop forms at the opening of the dropper. We need to estimate the size of the drop by calculating the net vertical force due to surface tension.

Assumptions:
To simplify the calculation, we assume that the drop formed at the opening is spherical. This assumption is made because a spherical shape requires a minimum increase in surface energy.

Calculating the Vertical Force Due to Surface Tension:
To determine the size of the drop, we calculate the net vertical force due to surface tension T when the radius of the drop is R. When this force becomes smaller than the weight of the drop, the drop gets detached from the dropper.

Surface Energy:
The surface energy of a liquid drop is given by the formula:
E = 2πRT
where R is the radius of the drop and T is the surface tension.

Calculating the Weight of the Drop:
The weight of the drop can be calculated using the formula:
W = (4/3)πR³p
where p is the density of the liquid medicine.

Comparing the Vertical Force and Weight:
When the drop gets detached, the net vertical force due to surface tension becomes equal to the weight of the drop. Therefore, we can equate the surface energy (force) and the weight of the drop:
2πRT = (4/3)πR³p

Simplifying the Equation:
To simplify the equation, we can cancel out the common factors:
2T = (4/3)R²p

Calculating the Size of the Drop:
We are given that the radius of the opening of the dropper is r. As the drop forms at the opening, its initial radius is equal to the radius of the opening (r). Therefore, we can substitute R = r in the equation:
2T = (4/3)r²p

Final Answer:
The equation 2T = (4/3)r²p represents the net vertical force due to surface tension on the drop of radius R, assuming the radius of the opening of the dropper is r. Therefore, the correct answer is option C: 2πr²T/R.
Explore Courses for JEE exam

Similar JEE Doubts

When liquid medicine of density p is to be put in the eye it is done with the help of a dropper. As the bulb on the top of the dropper is pressed, a drop forms at the opening of the dropper. We wish to estimate the size of the drop. We first assume that the drop formed at the opening is spherical because that requires a minimum increase in its surface energy. To determine the size, we calculate the net vertical force due to the surface tension T when the radius of the drop is R. When this force becomes smaller than the weight of the drop, the drop gets detached from the dropper.If the radius of the opening of the dropper is r, the vertical force due to the surface tension on the drop of radius R (assuming r a)2πrTb)2πRTc)2πr2T/Rd)2πr2T/rCorrect answer is option 'C'. Can you explain this answer?
Question Description
When liquid medicine of density p is to be put in the eye it is done with the help of a dropper. As the bulb on the top of the dropper is pressed, a drop forms at the opening of the dropper. We wish to estimate the size of the drop. We first assume that the drop formed at the opening is spherical because that requires a minimum increase in its surface energy. To determine the size, we calculate the net vertical force due to the surface tension T when the radius of the drop is R. When this force becomes smaller than the weight of the drop, the drop gets detached from the dropper.If the radius of the opening of the dropper is r, the vertical force due to the surface tension on the drop of radius R (assuming r a)2πrTb)2πRTc)2πr2T/Rd)2πr2T/rCorrect answer is option 'C'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about When liquid medicine of density p is to be put in the eye it is done with the help of a dropper. As the bulb on the top of the dropper is pressed, a drop forms at the opening of the dropper. We wish to estimate the size of the drop. We first assume that the drop formed at the opening is spherical because that requires a minimum increase in its surface energy. To determine the size, we calculate the net vertical force due to the surface tension T when the radius of the drop is R. When this force becomes smaller than the weight of the drop, the drop gets detached from the dropper.If the radius of the opening of the dropper is r, the vertical force due to the surface tension on the drop of radius R (assuming r a)2πrTb)2πRTc)2πr2T/Rd)2πr2T/rCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for When liquid medicine of density p is to be put in the eye it is done with the help of a dropper. As the bulb on the top of the dropper is pressed, a drop forms at the opening of the dropper. We wish to estimate the size of the drop. We first assume that the drop formed at the opening is spherical because that requires a minimum increase in its surface energy. To determine the size, we calculate the net vertical force due to the surface tension T when the radius of the drop is R. When this force becomes smaller than the weight of the drop, the drop gets detached from the dropper.If the radius of the opening of the dropper is r, the vertical force due to the surface tension on the drop of radius R (assuming r a)2πrTb)2πRTc)2πr2T/Rd)2πr2T/rCorrect answer is option 'C'. Can you explain this answer?.
Solutions for When liquid medicine of density p is to be put in the eye it is done with the help of a dropper. As the bulb on the top of the dropper is pressed, a drop forms at the opening of the dropper. We wish to estimate the size of the drop. We first assume that the drop formed at the opening is spherical because that requires a minimum increase in its surface energy. To determine the size, we calculate the net vertical force due to the surface tension T when the radius of the drop is R. When this force becomes smaller than the weight of the drop, the drop gets detached from the dropper.If the radius of the opening of the dropper is r, the vertical force due to the surface tension on the drop of radius R (assuming r a)2πrTb)2πRTc)2πr2T/Rd)2πr2T/rCorrect answer is option 'C'. Can you explain this answer? in English & in Hindi are available as part of our courses for JEE. Download more important topics, notes, lectures and mock test series for JEE Exam by signing up for free.
Here you can find the meaning of When liquid medicine of density p is to be put in the eye it is done with the help of a dropper. As the bulb on the top of the dropper is pressed, a drop forms at the opening of the dropper. We wish to estimate the size of the drop. We first assume that the drop formed at the opening is spherical because that requires a minimum increase in its surface energy. To determine the size, we calculate the net vertical force due to the surface tension T when the radius of the drop is R. When this force becomes smaller than the weight of the drop, the drop gets detached from the dropper.If the radius of the opening of the dropper is r, the vertical force due to the surface tension on the drop of radius R (assuming r a)2πrTb)2πRTc)2πr2T/Rd)2πr2T/rCorrect answer is option 'C'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of When liquid medicine of density p is to be put in the eye it is done with the help of a dropper. As the bulb on the top of the dropper is pressed, a drop forms at the opening of the dropper. We wish to estimate the size of the drop. We first assume that the drop formed at the opening is spherical because that requires a minimum increase in its surface energy. To determine the size, we calculate the net vertical force due to the surface tension T when the radius of the drop is R. When this force becomes smaller than the weight of the drop, the drop gets detached from the dropper.If the radius of the opening of the dropper is r, the vertical force due to the surface tension on the drop of radius R (assuming r a)2πrTb)2πRTc)2πr2T/Rd)2πr2T/rCorrect answer is option 'C'. Can you explain this answer?, a detailed solution for When liquid medicine of density p is to be put in the eye it is done with the help of a dropper. As the bulb on the top of the dropper is pressed, a drop forms at the opening of the dropper. We wish to estimate the size of the drop. We first assume that the drop formed at the opening is spherical because that requires a minimum increase in its surface energy. To determine the size, we calculate the net vertical force due to the surface tension T when the radius of the drop is R. When this force becomes smaller than the weight of the drop, the drop gets detached from the dropper.If the radius of the opening of the dropper is r, the vertical force due to the surface tension on the drop of radius R (assuming r a)2πrTb)2πRTc)2πr2T/Rd)2πr2T/rCorrect answer is option 'C'. Can you explain this answer? has been provided alongside types of When liquid medicine of density p is to be put in the eye it is done with the help of a dropper. As the bulb on the top of the dropper is pressed, a drop forms at the opening of the dropper. We wish to estimate the size of the drop. We first assume that the drop formed at the opening is spherical because that requires a minimum increase in its surface energy. To determine the size, we calculate the net vertical force due to the surface tension T when the radius of the drop is R. When this force becomes smaller than the weight of the drop, the drop gets detached from the dropper.If the radius of the opening of the dropper is r, the vertical force due to the surface tension on the drop of radius R (assuming r a)2πrTb)2πRTc)2πr2T/Rd)2πr2T/rCorrect answer is option 'C'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice When liquid medicine of density p is to be put in the eye it is done with the help of a dropper. As the bulb on the top of the dropper is pressed, a drop forms at the opening of the dropper. We wish to estimate the size of the drop. We first assume that the drop formed at the opening is spherical because that requires a minimum increase in its surface energy. To determine the size, we calculate the net vertical force due to the surface tension T when the radius of the drop is R. When this force becomes smaller than the weight of the drop, the drop gets detached from the dropper.If the radius of the opening of the dropper is r, the vertical force due to the surface tension on the drop of radius R (assuming r a)2πrTb)2πRTc)2πr2T/Rd)2πr2T/rCorrect answer is option 'C'. Can you explain this answer? tests, examples and also practice JEE tests.
Explore Courses for JEE exam

Top Courses for JEE

Explore Courses
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
10M+ students study on EduRev